Generalized Ellis-Bronnikov graphene wormhole

Abstract

In this paper, we investigate the spinless stationary Schrödinger equation for the electron when it is permanently bound to a generalized Ellis-Bronnikov graphene wormhole-like surface. The curvature gives rise to a geometric potential affecting thus the electronic dynamics. The geometry of the wormhole's shape is controlled by the parameter $n$ which assumes even values. We discuss the role played by the parameter $n$ and the orbital angular momentum on bound states and probability density for the electron.

9 pages, 6 figures, two columns

References in corpus (11)

• The electronic properties of graphene
• Making Sense of Non-Hermitian Hamiltonians
• Charge inhomogeneities due to smooth ripples in graphene sheets
• An Equivalent Hermitian Hamiltonian for the non-Hermitian -x^4 Potential
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Graphene wormholes: A condensed matter illustration of Dirac fermions in curved space
• Weyl-Gauge Symmetry of Graphene
• Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
• Effective Mass in Bilayer Graphene at Low Carrier Densities: the Role of Potential Disorder and Electron-Electron Interaction
• Dual oscillators and Quantum Pendulums: spectrum and correlators
• On the traversability of wormhole solutions in asymptotically safe gravity

Cited by in corpus (8)

• Nonassociative geometric and quantum information flows and R-flux deformations of wormhole solutions in string gravity
• Electronic states in a quantum Beltrami surface
• Quantum Holonomies in Graphene Wormholes
• On quantum traversability of wormholes
• Redshift as a stretching factor in rotating graphene wormholes
• Electronic states in a bilayer graphene quantum ripple
• Field Sources for Generalized Ellis-Bronnikov Wormhole
• Geometrodynamics of a 2D Curved Surface due to a Constrained Quantum Particle via its Gravitational Dual: ${\mathcal{S}}^2$ Analytical Model Calculations